ProShares UltraPro QQQ (TQQQ)

TotalReturn:

'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

• Compared with the benchmark SPY (75.1%) in the period of the last 5 years, the total return, or increase in value of 88.8% of ProShares UltraPro QQQ is greater, thus better.
• During the last 3 years, the total return, or performance is 216.8%, which is larger, thus better than the value of 66.3% from the benchmark.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• Looking at the compounded annual growth rate (CAGR) of 13.6% in the last 5 years of ProShares UltraPro QQQ, we see it is relatively larger, thus better in comparison to the benchmark SPY (11.9%)
• Compared with SPY (18.6%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 47.2% is higher, thus better.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the historical 30 days volatility of 66.5% of ProShares UltraPro QQQ is higher, thus worse.
• Looking at volatility in of 58.4% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (15.1%).

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside volatility of 46.6% of ProShares UltraPro QQQ is higher, thus worse.
• During the last 3 years, the downside risk is 40%, which is greater, thus worse than the value of 10.2% from the benchmark.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• Compared with the benchmark SPY (0.55) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.17 of ProShares UltraPro QQQ is lower, thus worse.
• Compared with SPY (1.06) in the period of the last 3 years, the Sharpe Ratio of 0.77 is lower, thus worse.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Looking at the downside risk / excess return profile of 0.24 in the last 5 years of ProShares UltraPro QQQ, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.8)
• During the last 3 years, the excess return divided by the downside deviation is 1.12, which is lower, thus worse than the value of 1.58 from the benchmark.

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• Compared with the benchmark SPY (8.44 ) in the period of the last 5 years, the Ulcer Index of 42 of ProShares UltraPro QQQ is higher, thus worse.
• Looking at Ulcer Ratio in of 16 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.49 ).

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

• The maximum DrawDown over 5 years of ProShares UltraPro QQQ is -81.7 days, which is smaller, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -58 days, which is smaller, thus worse than the value of -18.8 days from the benchmark.

MaxDuration:

'The Maximum Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

• The maximum days under water over 5 years of ProShares UltraPro QQQ is 762 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days below previous high in of 161 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• The average time in days below previous high water mark over 5 years of ProShares UltraPro QQQ is 261 days, which is greater, thus worse compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average time in days below previous high water mark is 47 days, which is greater, thus worse than the value of 20 days from the benchmark.